Answer:
The answer is -17
Step-by-step explanation
Given:[tex]f(x)=2x-5 and g(x)=|-3x-1|[/tex].
Let, -1 in the place of [tex]x[/tex] in [tex]f(x)[/tex] and 3 in the place of [tex]x[/tex] in[tex]g(x)[/tex] .
[tex]F(-1) = 2\times-1-5\\=-2-5\\=-7\\g(3)=|-3\times3-1|\\=|-9-1|\\=|-10|\\=10[/tex].
Getting the value of [tex]f(-1) and g(3)[/tex].
And, now evaluate:
[tex]f(-1)-g(3)\\=-7-10\\=-17[/tex].
Therefore the answer is [tex]-17[/tex].
